# Table 3: Leave-One-Region-Out Jackknife

CV > 30% indicates fragility to regional composition.

| Test | Z₁ (full) | Z₁ range | CV (%) | Fragile? | Most influential region |
|:---|---:|:---|---:|:---|:---|
| Trilemma: Z→CA | -5.77 | [-26.45, 8.50] | 136.8 | **YES** | Sub-Saharan Africa |
| Crises: old_dep→banking | 0.32 | [0.22, 0.39] | 16.6 | No | Sub-Saharan Africa |
| Net/Gross: Z→income_bal | -6.36 | [-38.79, 11.86] | 214.5 | **YES** | Sub-Saharan Africa |
| Automation: Z→gross_investment_gdp | 35.28 | [20.42, 53.56] | 29.8 | No | Latin America & Caribbean |

## Detailed Results


### Trilemma: Z→CA

| Dropped region | N | Countries | Z₁ | SE | p-value | R² |
|:---|---:|---:|---:|---:|---:|---:|
| None (full) | 4574 | 152 | -5.772 | 10.490 | 0.5822 | 0.1706 |
| Latin America & Caribbean | 3822 | 124 | 8.503 | 11.573 | 0.4626 | 0.1825 |
| South Asia | 4360 | 145 | 1.204 | 10.768 | 0.9110 | 0.1793 |
| Sub-Saharan Africa | 3201 | 112 | -26.452 | 14.041 | 0.0597 | 0.1761 |
| Europe & Central Asia | 3396 | 109 | -12.540 | 12.306 | 0.3083 | 0.1787 |
| Middle East & North Africa | 4026 | 135 | -21.611* | 10.663 | 0.0427 | 0.1436 |
| East Asia & Pacific | 4130 | 137 | -2.268 | 11.233 | 0.8400 | 0.1666 |
| North America | 4539 | 151 | -6.093 | 10.534 | 0.5630 | 0.1709 |

### Crises: old_dep→banking

| Dropped region | N | Countries | Z₁ | SE | p-value | R² |
|:---|---:|---:|---:|---:|---:|---:|
| None (full) | 6246 | 178 | 0.323** | 0.100 | 0.0013 | 0.0142 |
| Latin America & Caribbean | 5008 | 145 | 0.335** | 0.106 | 0.0016 | 0.0150 |
| South Asia | 5980 | 171 | 0.315** | 0.104 | 0.0024 | 0.0144 |
| Sub-Saharan Africa | 4648 | 134 | 0.216* | 0.106 | 0.0419 | 0.0131 |
| Europe & Central Asia | 4731 | 131 | 0.267 | 0.144 | 0.0645 | 0.0157 |
| Middle East & North Africa | 5589 | 159 | 0.307* | 0.121 | 0.0114 | 0.0133 |
| East Asia & Pacific | 5413 | 154 | 0.392*** | 0.111 | 0.0004 | 0.0167 |
| North America | 6170 | 176 | 0.328** | 0.100 | 0.0011 | 0.0145 |

### Net/Gross: Z→income_bal

| Dropped region | N | Countries | Z₁ | SE | p-value | R² |
|:---|---:|---:|---:|---:|---:|---:|
| None (full) | 4598 | 161 | -6.360 | 18.077 | 0.7250 | 0.0322 |
| Latin America & Caribbean | 3955 | 137 | -7.290 | 19.822 | 0.7131 | 0.0321 |
| South Asia | 4392 | 154 | -5.611 | 18.820 | 0.7656 | 0.0297 |
| Sub-Saharan Africa | 3509 | 121 | -38.789* | 19.538 | 0.0472 | 0.0767 |
| Europe & Central Asia | 3204 | 114 | 4.445 | 22.829 | 0.8456 | 0.0361 |
| Middle East & North Africa | 4062 | 143 | -6.081 | 20.483 | 0.7666 | 0.0238 |
| East Asia & Pacific | 3988 | 140 | 11.857 | 17.966 | 0.5093 | 0.0322 |
| North America | 4537 | 159 | -6.298 | 18.227 | 0.7297 | 0.0311 |

### Automation: Z→gross_investment_gdp

| Dropped region | N | Countries | Z₁ | SE | p-value | R² |
|:---|---:|---:|---:|---:|---:|---:|
| None (full) | 3807 | 150 | 35.284* | 14.137 | 0.0126 | 0.0907 |
| Latin America & Caribbean | 3212 | 126 | 53.563*** | 15.372 | 0.0005 | 0.1174 |
| South Asia | 3629 | 143 | 24.419 | 13.937 | 0.0798 | 0.0834 |
| Sub-Saharan Africa | 2889 | 111 | 20.416 | 14.949 | 0.1721 | 0.0877 |
| Europe & Central Asia | 2605 | 104 | 45.727** | 17.665 | 0.0097 | 0.0999 |
| Middle East & North Africa | 3399 | 134 | 37.245* | 16.027 | 0.0202 | 0.0966 |
| East Asia & Pacific | 3383 | 135 | 33.259* | 15.316 | 0.0300 | 0.0727 |
| North America | 3754 | 148 | 34.860* | 14.252 | 0.0145 | 0.0909 |